It is known that `x+y=10` and that `x=z`. Show that `z+y=10`.

It is known that if x+y=10 , then x+y+z=10+z . The Euclid's axiom that illustrates this statement is

For all x, y and z in R , if x gt y and y gt z , then x gt z . This property is known as __________.

Using determinants, show that the following system of equations is inconsistent: 2x-y+z=4,\ \ \ x+3y+2z=12 ,\ \ \ 3x+2y+3z=10

If x+y+z=10 , where x,y,z in N . Find the number of solutions of triplet (x, y, z) such that no ttwo variables are equal.

2x + y + z = 8, xyz = -4.3x + 2y + z = 10

Given that, 10^(0.48)=x, 10^(0.70)=y and x^z=y^2 , then the value of z is

Read the information given below and answer the questions that follow : The following functions have been defined : la(x, y, z) ="min" (x+y, y+z) "le" (x,y,z) ="max" (x-y, y-z) ma (x,y,z) =(1//2) ["le"(x,y,z) +la (x,y,z)] What is the value of ma (10, 4, le (la (10, 5, 3), 5, 3)) ?

The number of solutions of the equation x+y+z =10 in positive integers x,y,z is equal to